February 8, 2024Open Access

Improved long time existence for the Willmore flow of surfaces of revolution with Dirichlet data

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Abstract

To avoid possible singularities in the Willmore flow, one usually works under an energy threshold provided by the Li-Yau inequality. Here we improve this threshold by also considering parts outside of a possible singularity together with Dirichlet boundary data. We work in the class of surfaces of revolution.

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Sascha Eichmann (Thu,) studied this question.

synapsesocial.com/papers/68e7b940b6db64358770fa6b https://doi.org/https://doi.org/10.48550/arxiv.2402.05580

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